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http://hdl.handle.net/11718/775| Title: | Consequence of chernoff and outcasting and solutions for abstract games |
| Authors: | Lahiri, Somdeb |
| Keywords: | Abstract games |
| Issue Date: | 16-Jan-2010 |
| Series/Report no.: | WP;2000-03-02/1582 |
| Abstract: | The purpose of this paper is to prove by induction the theorem (in Aizerman and Malishevski [1981]) that a choice function which satisfies Chernoffs axiom and Outcasting can always by expressed as the union of the solution sets of a finite number of maximization problems. In this paper we also show that the Slater solution for abstract games (see Slater [1961]) satisfies the Chernoff, Outcasting and Expansion axioms. On the other hand the solution due to Copeland [1951], which has subsequently been axiomatically characterized Henriet [1985], does not satisfy any of these three properties. |
| URI: | http://hdl.handle.net/11718/775 |
| Appears in Collections: | Working Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| WP 2000_1582.pdf | 660.48 kB | Adobe PDF | View/Open |
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